Shear Viscosity to Entropy Density for a Black Brane in 5-dimensional Einstein-Yang-Mills Gravity

preprint2015arXivOpen access

Abstract

We calculate the ratio of shear viscosity to entropy density for a black brane of 55-dimensional Einstein-Yang-Mills Gravity by Kubo and membrane paradigm methods. The former gives 14π\frac{1}{4π} exactly which is an expected result in the context of the Einstein-Hilbert gravity. In contrast, the membrane paradigm reaches 14π\frac{1}{4π} only in large horizon radius limit. We comment on this discrepancy.

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